Multiply the following two binomials.
(3x + 1) (2x - 4)
To multiply the two binomials (3x + 1) and (2x - 4), you will use the distributive property.
First, distribute 3x to both terms in the second binomial and 1 to both terms in the second binomial:
(3x + 1)(2x - 4)
= 3x(2x) + 3x(-4) + 1(2x) + 1(-4)
= 6x^2 - 12x + 2x - 4
= 6x^2 - 10x - 4
Therefore, (3x + 1)(2x - 4) is equal to 6x^2 - 10x - 4.